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Finding the Third Proportional to 458,046 and 673,385

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Solution

The third proportional to 458,046 and 673,385 is: 989,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,046 : 673,385 = 673,385 : x
  2. Step 2: Convert to fraction form
    458,046/673,385 = 673,385/x
  3. Step 3: Cross multiply
    458,046x = 673,385 × 673,385
  4. Step 4: Simplify right side
    458,046x = 453,447,358,225
  5. Step 5: Solve for x
    x = 453,447,358,225/458,046
  6. Step 6: Final answer
    x = 989,960.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.